Notes

Field notes from Planck Labs.

Technical writing on electromagnetic simulation, numerical methods, and computational physics.

May 5, 2026 · 3 min read

Convergence order in electromagnetic simulation: why mesh refinement compounds

The order of accuracy of a numerical method is a structural property, not a tuning parameter. In three-dimensional wave problems, the difference between second-order and sixth-order convergence is the difference between needing 32× more degrees of freedom per decade of accuracy and needing 3×.